Non-Markovian effects in liquid dielectrics

Abstract

The set of kinetic equation for the time correlation function of polarization in the correlation approximation of the second order has been obtained with the help of the Zwanzig-Mori projection operators method. In the range of the orientational polarization this approximation appears as a result of using the Bogolubov's time scale hierarchy and neglecting the inertia effects in the molecule dynamics. The non-Markovity parameter of the orientational polarization process was introduced. The obtained dielectric spectra are the non-Debye's one and depend on the polarizational process non-Markovity parameter. The narrowing of the dielectric losses line ε″(ω) in the polar liquids in the Poley's absorption range is explained by the non-Markovian nature of the angle velocity time correlation of the molecule. The Debye's type of polarization in the formulae obtained is a particular limit case. The microscopic expressions for the orientational relaxation time and the non-Markovity parameter were obtained.